6438791761920 has 624 divisors, whose sum is σ = 26451603884160. Its totient is φ = 1471715868672.

The previous prime is 6438791761859. The next prime is 6438791761933. The reversal of 6438791761920 is 291671978346.

6438791761920 is a `hidden beast` number, since 6 + 4 + 3 + 8 + 7 + 9 + 1 + 7 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34744066 + ... + 34928894.

It is an arithmetic number, because the mean of its divisors is an integer number (42390390840).

Almost surely, 2^{6438791761920} is an apocalyptic number.

6438791761920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438791761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225801942080).

6438791761920 is an abundant number, since it is smaller than the sum of its proper divisors (20012812122240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6438791761920 is an equidigital number, since it uses as much as digits as its factorization.

6438791761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184880 (or 184846 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 6438791761920 in words is "six trillion, four hundred thirty-eight billion, seven hundred ninety-one million, seven hundred sixty-one thousand, nine hundred twenty".